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Finding the Fourth Proportional to 8,206.31, 11,324.91 and 4,480.31

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Solution

The fourth proportional to 8,206.31, 11,324.91 and 4,480.31 is: 6,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.31 : 11,324.91 = 4,480.31 : x
  2. Step 2: Convert to fraction form
    8,206.31/11,324.91 = 4,480.31/x
  3. Step 3: Cross multiply
    8,206.31x = 11,324.91 × 4,480.31
  4. Step 4: Simplify right side
    8,206.31x = 50,739,152.64
  5. Step 5: Solve for x
    x = 50,739,152.64/8,206.31
  6. Step 6: Final answer
    x = 6,182.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.